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Finding the Third Proportional to 866,106,912 and 2,020,985,967

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Solution

The third proportional to 866,106,912 and 2,020,985,967 is: 4,715,796,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,106,912 : 2,020,985,967 = 2,020,985,967 : x
  2. Step 2: Convert to fraction form
    866,106,912/2,020,985,967 = 2,020,985,967/x
  3. Step 3: Cross multiply
    866,106,912x = 2,020,985,967 × 2,020,985,967
  4. Step 4: Simplify right side
    866,106,912x = 4,084,384,278,810,925,056
  5. Step 5: Solve for x
    x = 4,084,384,278,810,925,056/866,106,912
  6. Step 6: Final answer
    x = 4,715,796,886.30

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.